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4(x2-10)=9
We move all terms to the left:
4(x2-10)-(9)=0
We add all the numbers together, and all the variables
4(+x^2-10)-9=0
We multiply parentheses
4x^2-40-9=0
We add all the numbers together, and all the variables
4x^2-49=0
a = 4; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·4·(-49)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{784}=28$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*4}=\frac{-28}{8} =-3+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*4}=\frac{28}{8} =3+1/2 $
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